Question

На складе книг в 4 раза больше, чем в магазине.После того, как со склада вывезли 340 книг, а в магазине продали 55 книг, количество книг на складе и в магазине стало поровну .Сколько книг было на складе и в магазине вначале? без уравнения!

Answer 1

4х-340=х-55 
3х=285 
х=95 книг

Answer 2

Problem Analysis

We are given that the number of books in the warehouse is four times the number of books in the store. After 340 books are taken from the warehouse and 55 books are sold from the store, the number of books in the warehouse and the store becomes equal. We need to find the initial number of books in the warehouse and the store.

Solution

Let's assume the initial number of books in the store is x. Since the number of books in the warehouse is four times the number of books in the store, the initial number of books in the warehouse is 4x.

After 340 books are taken from the warehouse, the number of books in the warehouse becomes 4x - 340. After 55 books are sold from the store, the number of books in the store becomes x - 55.

According to the given information, the number of books in the warehouse and the store becomes equal. Therefore, we can set up the following equation:

4x - 340 = x - 55

To solve this equation, we can simplify it as follows:

4x - x = 340 - 55

Simplifying further:

3x = 285

Dividing both sides by 3:

x = 95

So, the initial number of books in the store is 95. Since the number of books in the warehouse is four times the number of books in the store, the initial number of books in the warehouse is 4 * 95 = 380.

Therefore, there were 380 books in the warehouse and 95 books in the store initially.

Answer

The initial number of books in the warehouse was 380 and the initial number of books in the store was 95.